Erm
x+y=6
xy=12
x+y=6
y=6-x
sub back
xy=12
x(6-x)=12
6x-x^2=12
x^2-6x=-12
x^2-6x+12=0
quadratic formula
for
ax²+bx+c=0
for
x²-6x+12=0
a=1
b=-6
c=12
and remember that √-1=i
x=3+/-i√3
the numbers are 3+i√3 and 3-i√3
no real numbers tho
The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.
<u>Step-by-step explanation:</u>
- The equation for the maximum speed, s is given by s²= (16/9)x
- where, x is the length of the water line in feet.
It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.
The question is asked to find the maximum speed when the length of the water is 30 feet.
Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.
<u>Now, calculating the maximum speed :</u>
s² = (16/9)(30)
s² = 480 / 9
s² = 53.3
Taking square root on both sides,
s = √53.3
s = 7.3
The maximum speed of a boat at 30 feet length of water is 7.3 nautical miles/hour or knots.
757 units squared. Here is work:
Answer:
A = 25 in²
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Geometry</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Side length = 5 in
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute: A = (5 in)²
- Evaluate: A = 25 in²
And we have our final answer!
